近似离散瞬时最优控制算法推导及稳定性分析

发布时间：2018-12-11 00:06

【摘要】：基于瞬时最优化控制,推导了近似离散瞬时最优化控制算法,采用李雅普诺夫第二方法给出了算法稳定性的充分条件。选择20层的Benchmark II模型及El波作为数值计算模型和输入的地震荷载,数值分析结果表明:在给定的权系数矩阵下,受控系统是稳定的;与未施加控制力时的结构响应相比,连续系统瞬时最优化控制与近似离散瞬时最优控制均有较好的控制效果,尤其是位移与速度响应的控制效果明显;结构在连续系统瞬时最优化控制与近似离散瞬时最优化控制下,结构响应基本一致。
[Abstract]:Based on the instantaneous optimal control, the approximate discrete instantaneous optimal control algorithm is derived, and the sufficient conditions for the stability of the algorithm are given by using Lyapunov's second method. The 20-story Benchmark II model and El wave are selected as the numerical calculation model and the input seismic load. The numerical results show that the controlled system is stable under the given weight coefficient matrix; Compared with the structural response without control force, the instantaneous optimal control of continuous system and the approximate discrete instantaneous optimal control have better control effect, especially the control effect of displacement and velocity response. The structure response is basically the same under the instantaneous optimal control of continuous system and the approximate discrete instantaneous optimal control.
【作者单位】：西南交通大学力学与工程学院;
【分类号】：TU311.3

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